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Automated Detection of COVID-19 Using Machine Learning Analysis of White Blood Cell Flow Cytometry Images. [PDF]

Cureus
Hirosse AE, Backes AR, Woloszynek RS, Neves FF.   +3 more
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Fractal: Towards FAIR bioimage analysis at scale with OME-Zarr-native workflows

Lüthi J, Cerrone L, Comparin T, Hess M, Hornbachner R, Tschan A, Glasner de Medeiros GQ, Repina NA, Cantoni LK, Steffen FD, Bourquin J, Liberali P, Pelkmans L, Uhlmann V.   +13 more
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ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES

Bulletin of the Australian Mathematical Society, 2022
AbstractBased on the work of Mauldin and Williams [‘On the Hausdorff dimension of some graphs’,Trans. Amer. Math. Soc.298(2) (1986), 793–803] on convex Lipschitz functions, we prove that fractal interpolation functions belong to the space of convex Lipschitz functions under certain conditions.
SUBHASH CHANDRA, SYED ABBAS
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Fractal Diffusion in a Chemical Space

International Journal of Nonlinear Sciences and Numerical Simulation, 2000
Summary: We focus on fractal diffusion in a chemical space. By the way of analogy, we derive not only the standard diffusion equation, but also the fractional diffusion equation in a chemical space. Moreover, we consider a special case of diffusion in a chemical space with a power-law distribution of waiting time, and obtain its diffusion exponent.
Fang, Yaquan, Li, Houqiang, Ai, Nanshan, Luo, Wenfeng   +3 more
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Probability Space of Stochastic Fractals

Ukrainian Mathematical Journal, 2004
The authors propose a method to define random subsets of \(\mathbb R\) in such a way that the fractal dimension becomes a measurable functional. They introduce a class of \(c\)-systems of sets and prove that a finite measure on a \(c\)-system can be extended, in a unique way, to the minimal \(\sigma\)-algebra generated by the \(c\)-system.
Virchenko, Yu. P., Shpilinskaya, O. A.
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On Search Spaces of Fractal Nature

2018
In this paper we discuss the search spaces of fractional/fractal dimensions and some of the problems where such spaces may emerge. We also consider relationships between Cantor set and probabilistic spaces, and the potential application of Cantor Dust as a combination of probability trees to create hybrid models. We believe that such considerations can
Leszek Kaliciak, Hans I. Myrhaug, Ayse Göker   +2 more
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FRACTAL BASES OF Lp SPACES

Fractals, 2012
The methodology of fractal sets generates new procedures for the analysis of functions whose graphs have a complex geometric structure. In the present paper, a method for the definition of fractal functions is described. The new mappings are perturbed versions of classical bases as Legendre polynomials, etc.
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Symbolic Sequence Classification in the Fractal Space

IEEE Transactions on Emerging Topics in Computational Intelligence, 2021
Sequence classification has a range of applications and attracted a lot of attentions. Different from feature vectors, symbolic sequences have no explicit features. Due to this limitation, even with sophisticated feature selection techniques, the dimension of potential feature space could be very high, making classification methods hard to capture the ...
Yang Li 0066, Bingbing Jiang 0001, Huanhuan Chen 0001, Xin Yao 0001   +3 more
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